54782496 has 144 divisors (see below), whose sum is σ = 164697624. Its totient is φ = 17252352.

The previous prime is 54782447. The next prime is 54782521. The reversal of 54782496 is 69428745.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 54464400 + 318096 = 7380^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×54782496² = 6002243735980032, which contains 22 as substring.

Its product of digits (483840) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564720 + ... + 564816.

Almost surely, 2^54782496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54782496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82348812).

54782496 is an abundant number, since it is smaller than the sum of its proper divisors (109915128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54782496 is a wasteful number, since it uses less digits than its factorization.

54782496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 54782496 is about 7401.5198439239. The cubic root of 54782496 is about 379.7932762957.

It can be divided in two parts, 54782 and 496, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 54782496 in words is "fifty-four million, seven hundred eighty-two thousand, four hundred ninety-six".